Throughout this subsection we consider a mathematical model which describes the frictional contact between a nonlinear elastic body and a rigid foundation. We investigate the antiplane shear deformation of the body, i.e., the deformation expected by loading a long cylinder in the direction of its generators so that the displacement field is independent of the axial coordinate. The antiplane model is in Contact Mechanics due to the fact that it maintains physical relevance while significantly simplifying the equations. For more details and connections we refer to [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}.
